A circle has a sector with area 1/2pi and central angle of 1/9pi radians what is the area of the circle?

Area of a circle = PI x R^2

r = 1/2 diameter

r = 21.5/2

r = 10.75

Area of circle = 3.14 x 10.75^2 = 3.14 x 115.5625 = 362.86625 square units.

A semicircle is half a circle:

Area of semicircle = 362.86625 / 2 = 181.433125 square units (round the answer as needed).

Answer:

I think 3%

Step-by-step explanation:

Hope this helps:)

Answer:

33.3%

Step-by-step explanation:

I had answered another question first. This is the answer for this problem. Sorry!

hope this helps :)

Answer:

The first term of the series is 4

Step-by-step explanation:

The sum of the first  6  terms of a geometric series is  15 , 624  and the common ratio is  5 .

To find the first term, we use the formula for the sum of terms in a geometric series.

Since the common ratio of the series is greater than 1, the sum of [tex]n^{th}[/tex] term of the geometric series is;

[tex]S = \frac{a(r^n - 1)}{r - 1}[/tex]

where r = common ratio

a = first term

When S = 15,624, r = 5 and n = 6, the first term, a, will be:

[tex]15624 = \frac{a(5^6 - 1)}{5 - 1} \\\\15624 = \frac{a(15625 - 1)}{4}\\\\15624 = \frac{a(15624)}{4}\\\\a = \frac{4 * 15624}{15624}[/tex]

a = 4

The first term of the series is 4.

Answer:

There would be : 750 x (1 + 12.5/100)^4 = 1201.35 dollar after 4 years, with the earning is 750$ and interest rate is 12.5%.

Answer:

$1,500

Step-by-step explanation:

Interest = P × 12.5/100 × 4

750 = P × 0.5

P = 1500

Answer:

Melissa spent $1.90

Step-by-step explanation:

Each quarter is 25 cents. If you have 5 quarters, that would be 25 times 5. And each nickel is 5 cents, so if you have 13 nickels, then you would multiply 5 by 13. Then to get the total amount spent you would have to add the quarters and nickels. which would be 125 and 65. Every 100 is a dollar. so it would be 190, or $1.90.

Answer:

1.90

Step-by-step explanation:

Answer:

t-shirt: £5.00, hat: £2.00

Step-by-step explanation:

You can rewrite them into equations:

8t+h=42.

3t+h=17.

Then subtract the h from both equations using the elimination process.

8t-3t is 5t, and 42-17 is 25. The new equation is 5t=25, thus t=5. If we substitute the 5 into one of the other equations, we get h=2.

Answer:

T-shirt: £5

Hat: £2

Step-by-step explanation:

Use simultaneous equations elimination method for best results.

8t + h= 42

3t + h= 17

Subtract the two equations. h gets cancelled. 8t-3t= 5t. 42-17= 25.

5t= 25

t= 25÷5

t= £5

Substitute the value of t to give h.

8(5) + h=42

40+ h=42

h= 42-40

h= £2

Answer:

I think it's 640 i may be wrong or its 40.

Step-by-step explanation:

when finding the perimeter you just add up the outsides of the shape.

Answer:

90.24 mm

Step-by-step explanation:

Perimeter of the figure

[tex] =(20 + 20 ) + \frac{1}{2} \times 2\pi \: r \\ = (40 ) + 3.14 \times 16 \\ = 40 + 50.24 \\ = 90.24 \: mm[/tex]

To round 60.2 to the nearest hundredth, we need to look at the digit in the thousandth place, which is the second digit after the decimal point. If this digit is 5 or greater, we'll round up, and if it's less than 5, we'll round down. In this case, the digit in the thousandth place is 2, which is less than 5. So, when rounding 60.2 to the nearest hundredth, we round down to 60.20.

To round 60.2 to the nearest hundredth, we need to look at the digit in the thousandth place, which is the second digit after the decimal point. If this digit is 5 or greater, we'll round up, and if it's less than 5, we'll round down.

In this case, the digit in the thousandth place is 2, which is less than 5. So, when rounding 60.2 to the nearest hundredth, we round down to 60.20.

Answer: 60.20

Answer:

$36

Step-by-step explanation:

1.5 × 24 = 36

Hope this helps!

-MoCKEry

Answer:

  215

Step-by-step explanation:

We assume that the "starting point" is the starting point for the entire trip, including bus travel.

If B is distance traveled by Bus, and "b" is distance traveled by bike, then we seem to have ...

  B + b = 350

  b -B = 80

Adding these two equations gives ...

  2b = 430

  b = 215

They traveled 215 km by bike.

A geometric sequence follows an exponential pattern, where each term is found by multiplying the previous term by a constant called the common ratio. Therefore, the answer is A. An Exponential Pattern.

A geometric sequence follows an exponential pattern. This means that each term in the sequence is found by multiplying the previous term by a constant called the common ratio. For example, in the sequence 2, 6, 18, 54, the common ratio is 3. Here, each term is obtained by multiplying the previous term by 3.

To clarify, when we say a sequence follows an exponential pattern, it means the terms grow at a rate that involves doubling, tripling, or multiplying by any fixed number, rather than adding or subtracting a fixed amount as in linear patterns or changing according to a square as in quadratic patterns. This type of pattern can be represented by the formula:

a, ar, ar², ar³,...

where a is the first term and r is the common ratio. Understanding that geometric sequences follow an exponential growth pattern helps in solving various mathematical problems related to population growth, finance, and more.

Alpa must take out five T-shirts in order to be absolutely sure of having at least two T-shirts that differ only by size or by color.

The subject of this question is a probability problem, which falls under the domain of Mathematics, more specifically combinatorics. In scenarios such as this, we want to ensure we have at least two T-shirts that only differ by size or color. To guarantee this, Alpa must select one T-shirt of each color and size first. That means she must take out four T-shirts: a red small, a red large, a black small, and a black large. For the fifth T-shirt that she takes out, it will either be the same color as one she already has but different in size or it will be the same size as one she already has but a different color. So, the least number of T-shirts Alpa must take out of the bag in order to be absolutely sure of having at least two T-shirts among them that differ only by size or color is five.

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If 4 cakes make 32 slices, one cake will make [tex]\frac{32}{4}[/tex] = 8 slices. Therefore, 5 cakes will make (8 x 5) = 40 slices.

Answer:

You can get 40 slices from 5 cakes because each cake has 8 slices in it.

Step-by-step explanation:

Answer:

The volume of the finished cylinder is [tex]4486.2 m^3[/tex]

Step-by-step explanation:

To find the volume of the finished cylinder, we have to first find the volume of the hole (with 14 cm diameter and a height of 28 cm) and subtract it from the volume of the original cylinder (with diameter of 20 cm and a height of 28 cm).

Note: The hole is also cylindrical in shape.

The volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

where r = radius, h = height

VOLUME OF THE HOLE

The diameter of the hole is 14 cm, hence, its radius is 7 cm (14 / 2 = 7)

Its volume is:

[tex]V = \pi *7^2 * 28\\V = 4310.3 m^3[/tex]

VOLUME OF THE ORIGINAL CYLINDER

The diameter of the cylinder is 20 cm, hence, its radius is 10 cm (20 / 2 = 10)

Its volume is:

[tex]V = \pi *10^2 * 28\\V = 8796.5 m^3[/tex]

Hence, the volume of the finished cylinder will be:

[tex]8796.5 - 4310.3 = 4486.2 m^3[/tex]

The volume of the finished cylinder is [tex]4486.2 m^3[/tex]

Mia needs to tune up at least 46 bicycles at $55 each to reach her goal of $2500, as she cannot tune up a fraction of a bicycle.

To calculate the minimum number of bicycles Mia needs to tune up to reach her goal of $2500, we must divide her goal amount by the amount she earns per bicycle. Thus, the calculation is as follows:

Number of bicycles = Total goal amount / Earnings per bicycle

Number of bicycles = $2500 / $55

When we divide 2500 by 55, we get approximately 45.4545. Since Mia cannot tune up a fraction of a bicycle, she will need to tune up a whole number of bicycles. Therefore, she needs to tune up at least 46 bicycles to reach or exceed her goal of $2500.

Answer:

Step-by-step explanation:

6

Answer:

c

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

The mean is 65 because

Answer:

B

Step-by-step explanation:

The highest MOC is 4 in group A but in group B the MOC is 3. So group A has one more dot than group B.

Answer:

B = 73°, c = 107°, d= 107°

Step-by-step explanation:

[tex]b + 107 \degree = 180 \degree..(straight \: line \: \angle s) \\ b = 180 \degree - 107 \degree \\ \huge \red{ \boxed{b = 73 \degree}} \\ \\ \huge \purple{ \boxed{c = 107 \degree }}\\..(vertical \: \angle s) \\ \\ \huge \orange{ \boxed{d = 107 \degree }}\\..(corresponding \: \angle s) \\ \\ [/tex]

Probability that Eric will pick a country CD is 0.2.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Number of CD's which are country = 4

Number of CD's which are rap = 6

Number of CD's which are pop = 10

Total number of CD's = 4 + 6 + 10 = 20

Probability = Number of likely outcomes / Total number of outcomes3

Probability of getting country CD = 4 / 20

                                                       = 1/5

                                                       = 0.2

Hence the required probability is 0.2.

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Answer:

by applying Pythagoras theorem;

the ladder(13m) acts as hypotenuse

the wall (12m) acts as height

the distance between the the two is the base

therefore

a² + b² = c²

b²= c²- a²

b²= 169 - 144

b² = 25

√b² = √25

b= 5m

the distance is 5m

The chart showing the quantities and prices is;

Best Deal 1

Quantity of Flour Price

3 pounds $5.25

5 pounds $9.75

7 pounds $12.60

10 pounds $14.20

12 pounds $18.24

Answer:

difference between last weeks best deal = $0.3

Step-by-step explanation:

Let's calculate the unit price for each of the quantities in the chart.

For quantity of 3 pounds;

We have; unit price = 5.25/3 = $1.75

For 5 pounds;. Unit price = 9.75/5 = $1.95

For 7 pounds; unit price = 12.6/7 = $1.8

For 10 pounds; unit price = 14.2/10 = $1.42

For 12 pounds; unit price = 18.24/14 = $1.3

Thus, last weeks best deal is the lowest = $1.3

Thus; difference between last weeks best deal is given as;

= this weeks best deal - last weeks best deal

This gives;

$1.6 - $1.3 = $0.3

Answer:

0.18

Step-by-step explanation:

Answer:

8+ (27/9)2 = 17

Hi

15/100  =  600 / X

X =   600 *100 /15 = 4000

monthly budget =4000

Answer:

Their monthly budget is $600

Answer:

3,175 milliliters

Step-by-step explanation:

There are 1,000 milliliters in a liter, therefore you must use the equation

3.175(1,000), which gives you 3,175 milliliters of water

Answer:

I think 3,175 milliliters in volume if that's what u are looking for

Step-by-step explanation: I converted 3.175 liters to milliliters.

Answer:

she use 216 ft of wrapping paper i think

Answer:

$9,133.92

Step-by-step explanation:

V = P*e^(rt)

V = $5540 * e ^ (0.025*20)

V = 5540 * e^(0.5)

V = 5540 * 1.648721

V = $9,133.9158

about $9,133.92

Final answer:

The amount of money in the account after 20 years with continuous compounding at an annual rate of 2.5% is approximately $9138.13.

Explanation:

To calculate the amount of money in an investment account after 20 years with continuous compounding, we use the formula V = Pe^rt, where:

P is the principal amount ($5540),

e is the base of the natural logarithms (approximately 2.71828),

r is the annual interest rate (2.5% or 0.025 as a decimal), and

t is the number of years the money is invested (20 years).

Plugging these values into the formula, we get:

V = $5540 × e^(0.025 × 20)

Using a calculator with the capability to compute e raised to a power, we find:

V ≈ $5540 × 2.71828^0.5

V ≈ $5540 × 1.64872

V ≈ $9138.13

Hence, the value of the investment after 20 years, to the nearest cent, is approximately $9138.13.

Answer: B.Angle 7 and angle 1 are congruent.

Step-by-step explanation:

Alternate angles means that the angles are formed on the alternating sides of the transversal. The term "exterior" means that the alternate angles are formed outside the parallel lines.

Since the parallel lines are cut by a transversal and angles 1 and 7 are alternate exterior angles, it means that angles 1 and 7 are equal or congruent. This is because of the rule in geometry stating that two alternate exterior angles are congruent. Therefore, the correct option would be

B. Angle 7 and angle 1 are congruent.

Answer: The correct option is B; Angle 7 and angle 1 are congruent

Step-by-step explanation: Please refer to the picture attached for more details. The parallel lines AB and CD have been drawn and a transversal line have also been drawn to cut both lines as shown in the picture.

Since both lines are parallel, the angles formed by the transversal would be equal.

A careful observation would show that the interior angle formed by the transversal (which is the supplement of angle 120), is equal or congruent to the interior angle formed at angle 7. These are commonly referred to as "z angles" by virtue of the shape formed. Angle 1 and angle 7 are the exterior alternate angles formed by the transversal and they are both congruent, that is, they both have the same measurement.

The angles cannot be described as supplementary, because supplementary angles add up to 180 degrees. That is, if angle A plus angle B equals 180, then angles A and B are both supplementary. This does not apply to angle 1 and angle 7.